Resources and References

Golden Section Applet . - This is an App I made for students to discover the golden ratio for themselves using Euclid's original proof.
Golden Rectangles - This is the Golden Ratio App that we made in class. It shows how golden rectangles can be constructed and how golden spirals are formed.
Pentagram Applet - This applet shows how pentagrams and golden triangles have the golden ratio in their geometries. It allows for students to make conjectures about how golden triangles are formed.
Examining The Sacrament of the Last Supper - This applet lets students to see how golden ratios are found in art. They take a picture that has several golden ratios and find them for themselves.

Videos

Golden Ratio I found this video on Youtube at http://www.youtube.com/watch?v=fmaVqkR0ZXg. It gives a basic overview of what the golden ratio is and where it is found.
Khan Academy Video - This video found at "https://www.khanacademy.org/math/geometry/segments-and-angles/intro_euclid/v/the-golden-ratio"shows some of the most common mathematics behind the golden ratio.

Articles

Phideas - This is just the Wikipedia article on Phideas. It can be found at http://en.wikipedia.org/wiki/Phidias
Parthenon - Another Wikipedia article, this time it is on the Parthenon. Look for it at http://en.wikipedia.org/wiki/Parthenon.
Great Pyramid of Giza - The last Wikipedia article I used. Find it at http://en.wikipedia.org/wiki/Great_Pyramid_of_Giza.
Mona Lisa - So I think this website is actually used to sell rugs. It did have a lot of information about how the golden ratio can be found in the Mona Lisa though. Its web address is http://www.coastal-style.com/mona-lisa.html.
The Golden Ratio in Artwork - This is the site where I found most of my information on the golden ratio and art. It also gives other example of the golden ratio in artwork that I did not include in my site. Check it out at http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html.
Plastic Surgery Article - This article talks about how the human face has golden ratios in it and how people are so crazy about the golden ratio and the apparent beauty that it represents that they are willing to get plastic surgery to have these ratios. I found it pretty interesting. The article can be found at http://www.elle.com/beauty/golden-ratio-perfect-face.
The Golden Ratio in Nature - This is the site where I retrieved most of my pictures and some of the information about the golden ratio in nature. It has 15 examples of the ratio and has some cool pictures. The web address for this site is http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature.

Resources

[bricke321] (2008). Golden Ratio [video file]. retrieved from http://www.youtube.com/user/bricke321?feature=watch

Coastal Style (2013). The Golden Proportion and Mona Lisa. Retrieved from http://www.coastal-style.com/mona-lisa.html

Coombes. Interesting Facts About the Golden Ratio in Nature, Art, Math, and Artchitecture. Retrieved from http://mathematics.knoji.com/interesting-facts-about-the-golden-ratio-in-nature-art-math-and-architecture/.

Dunlap, R. A. (1997). The golden ratio and Fibonacci numbers.

Dvorsky (2013) 15 Uncanny Examples of the Golden Ratio in Nature. Retrieved from http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature

Fett, B. (2006). An in-depth investigation of the divine ratio. TMME The Montana Mathematics Enthusiast, 13, 157-175.

Herz-Fischler, R. (1998). A mathematical history of the golden number.

Huntly (2013) History of Phi, the Golden Ratio. Retrieved from http://www.goldennumber.net/golden-ratio-history/

Khan Academy. The Golden Ratio [video file]. retrieved from https://www.khanacademy.org/math/geometry/segments-and-angles/intro_euclid/v/the-golden-ratio

Livio, M. (2008). The golden ratio: The story of phi, the world's most astonishing number.

Obara, S. (2000). Golden ratio in art and architecture. University of Georgia, Athens, GA.

Popa-Dabuleanu, N. THE GOLDEN RATIO. Journal of the International Association of Physics Students, 18.

Huntly (2013) History of Phi, the Golden Ratio. Retrieved from http://www.goldennumber.net/golden-ratio-history/

Unknown. Great Pyramid of Giza. Retrieved from http://en.wikipedia.org/wiki/Great_Pyramid_of_Giza.

Unknown. Phidias. Retrieved from http://en.wikipedia.org/wiki/Phidias.

Unknown. Parthenon. Retrieved from http://en.wikipedia.org/wiki/Parthenon.



Images taken from the following websites:

http://middlescape.com/2011/12/golden-ratio-and-css/

http://www.juevesfilosofico.com/the-golden-ratio-2/